At a gathering,
38 of the people who attended were adults.
34 of the remainder were girls and the rest were boys. If there were 105 more adults than boys, how many people attended the gathering?
Adults |
Children |
3x4 = 12 u |
5x4 = 20 u |
|
Girls |
Boys |
|
4x5 = 20 u |
|
3x5 = 15 u |
1x5 = 5 u |
12 u |
15 u |
5 u |
The number of children is the combined repeated identity. Make the number of children the same. LCM of 5 and 4 is 20.
Number of more adults than boys
= 12 u - 5 u
= 7 u
7 u = 105
1 u = 105 ÷ 7 = 15
Number of people who attended the gathering
= 12 u + 20 u
= 32 u
= 32 x 15
= 480
Answer(s): 480